The wavelength of orange light is **3.85 X 10*-10* mile**. What would this dimension be converted to ***correct***

***prefix*** in **International System** (***SI***) (*1.0 mile = 1.609 km*)?
****
(a) 620**.** nm                 (b) 310**.** pm                 (c) 620**.** mm                 (d) 3**.**85 pm                 (e) 3**.**85 nm

To convert the wavelength of orange light from miles to a correct SI prefix, we'll follow these steps:

1. **Given dataTo convert the wavelength of orange light from miles to a correct SI prefix, we'll follow these steps:

1. **Given **
   - Wavelength of orange light = \(3.85 \times 10^{-10} \) miles
   - Conversion factor: \(1 \text{ mile} = 1.609 \text{ kilometers} \)

2. **Step 1: Convert miles to kilometers:**
   \[
   3.85 \times 10^{-10} \text{ miles} \times 1.609 \text{ km/mile} = 6.19465 \times 10^{-10} \text{ kilometers}
   \]

3. **Step 2: Convert kilometers to meters:**
   \[
   6.19465 \times 10^{-10} \text{ km} \times 10^3 \text{ meters/km} = 6.19465 \times 10^{-7} \text{ meters}
   \]

4. **Step 3: Convert meters to nanometers (nm):**
   \[
   6.19465 \times 10^{-7} \text{ meters} \times 10^9 \text{ nanometers/meter} = 619.465 \text{ nanometers}
   \]

5. **Rounding to 3 significant digits:**
   \[
   619.465 \text{ nm} \approx 620 \text{ nm}
   \]

Thus, the correct answer is:

**(a) 620 nm**

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Do you want further details or have any questions?

Here are 5 related questions for practice:
1. Convert 2 miles to meters.
2. How many picometers (pm) are in 1 nanometer (nm)?
3. If the wavelength of violet light is 380 nm, what is that in meters?
4. How does wavelength relate to the energy of light?
5. What is the speed of light in miles per second?

**Tip:** Remember that each step in a unit conversion requires consistent use of conversion factors (e.g., 1 km = 1000 meters).

The wavelength of orange light is 3.85 X 10^-10 mile. What would this dimension be converted to a correct prefix in International System (SI) (1.0 mile = 1.609 km)? (a) 620 nm (b) 310 pm (c) 620 mm (d) 3.85 pm (e) 3.85 nm

Learn how to convert the wavelength of orange light (3.85 X 10^-10 mile) to nanometers using the International System (SI). This problem involves unit conversion from miles to kilometers, meters, and nanometers, applying scientific notation. Suitable for Grades 9-12.

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